Question

Glencoe algebra 1 7-3 practice rational exponents answers

Answer 1

The expressions are illustrations of rational exponent expressions

The equivalent expressions are $(8x)^\frac 12 = 2\sqrt{2x$, $6z^\frac 12 = 6\sqrt z$ and $\sqrt{19} = 19^\frac 12$

How to simplify the rational exponent expressions?

From the complete question (see attachment), we are to simplify or rewrite the following expressions

$(8x)^\frac 12$

$6z^\frac 12$

$\sqrt{19$

For $(8x)^\frac 12$, we simply apply the exponent rule of indices

$(8x)^\frac 12 = \sqrt{8x$

Express 8 as 4 * 2

$(8x)^\frac 12 = \sqrt{4 * 2x$

Take the square root of 4

$(8x)^\frac 12 = 2\sqrt{2x$

For $6z^\frac 12$, we apply the exponent rule of indices

$6z^\frac 12 = 6\sqrt z$

For $\sqrt{19$, we apply the the same rule

$\sqrt{19} = 19^\frac 12$

Hence, the equivalent expressions are $(8x)^\frac 12 = 2\sqrt{2x$, $6z^\frac 12 = 6\sqrt z$ and $\sqrt{19} = 19^\frac 12$

Read more about rational exponents at:

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